Estimates of the Jost solution to a one-dimensional Schrödinger equation with a singular potential

zbMath0882.34083MaRDI QIDQ1363952

V. V. Katrakhov, Sergeĭ Mikhaĭlovich Sitnik

Publication date: 2 March 1998

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

oscillationSchrödinger equationRiemann functionsingular potentialJost solutionSturm-Liouville systemLegendre function of the first kindscattering or inverse problems of quantum mechanics

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Inverse scattering problems in quantum theory (81U40) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (4)

Unnamed Item ⋮ On one integral equation in the theory of transform operators ⋮ Some Recent Developments in the Transmutation Operator Approach ⋮ One-Dimensional and Multi-Dimensional Integral Transforms of Buschman–Erdélyi Type with Legendre Functions in Kernels

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